Home / 1,416.05-2,123.25-549.35

Finding the Fourth Proportional to 1,416.05, 2,123.25 and 549.35

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Solution

The fourth proportional to 1,416.05, 2,123.25 and 549.35 is: 823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.05 : 2,123.25 = 549.35 : x
  2. Step 2: Convert to fraction form
    1,416.05/2,123.25 = 549.35/x
  3. Step 3: Cross multiply
    1,416.05x = 2,123.25 × 549.35
  4. Step 4: Simplify right side
    1,416.05x = 1,166,407.39
  5. Step 5: Solve for x
    x = 1,166,407.39/1,416.05
  6. Step 6: Final answer
    x = 823.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.